is AB+BC+CA greater than 2AM IF AM is the median of triangle ABC rn - Maths - The Triangle and its Properties

Question

is AB+BC+CA greater than 2AM?IF AM is the median of triangle
ABC
rn

Sachin Khandelwal · Answer

in triangle ABM
AB +BM >AM [ The sum of 2 sides of a triangle is always
greater than the third side] -1
now ,in triangle ACM
AC +CM >AM [ The sum of 2 sides of a triangle is alwats
greater than the third side] -2
adding 1 and 2
AB +BM +AC +CM >AM+AM
ABC >2AM
AB +BC +CA >2AM

is AB+BC+CA greater than 2AM?IF AM is the median of triangle ABCrn

is AB+BC+CA greater than 2AM?IF AM is the median of triangle ABC
rn